Cauchy system for the scattering function in the searchlight problem
โ Scribed by Sueo Ueno
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 499 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
We study the local Cauchy problem in time for the Zakharov system, (1.1) and (1.2), governing Langmuir turbulence, with initial data (u(0), n(0), t n(0)) # H k ร H l รH l&1 , in arbitrary space dimension &. We define a natural notion of criticality according to which the critical values of (k, l) ar
## Abstract We study the Cauchy problem for a class of quasilinear hyperbolic systems with coefficients depending on (__t__, __x__) โ [0, __T__ ] ร โ^__n__^ and presenting a linear growth for |__x__ | โ โ. We prove wellโposedness in the Schwartz space __๐ฎ__ (โ^__n__^ ). The result is obtained by d